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Finding the Fourth Proportional to 11,596.82, 15,993.05 and 9,808.04

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Solution

The fourth proportional to 11,596.82, 15,993.05 and 9,808.04 is: 13,526.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.82 : 15,993.05 = 9,808.04 : x
  2. Step 2: Convert to fraction form
    11,596.82/15,993.05 = 9,808.04/x
  3. Step 3: Cross multiply
    11,596.82x = 15,993.05 × 9,808.04
  4. Step 4: Simplify right side
    11,596.82x = 156,860,465.06
  5. Step 5: Solve for x
    x = 156,860,465.06/11,596.82
  6. Step 6: Final answer
    x = 13,526.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.